The relationship between a distance in yards ( $$y$$ ) and the same distance in miles ( $$m$$ ) is described by the equation $$y = 1760m$$ . Find measurements in yards and miles for distances by completing the table. Is there a proportional relationship between a measurement in yards and a measurement in miles for the same distance? Explain why or why not.

distance measured in miles distance measured in yards 1 1,760 5 8,800 2 3,520 10 17,600

Use the equation $$y \frac52 x$$ to complete the table. Is $$y$$ proportional to $$x$$ ? Explain why or why not.

$$x$$ $$y$$ 2 5 3 $$\frac{15}{2}$$ 6 15

Yes, there is a proportional relationship between $$x$$ and $$y$$ since $$\frac{y}{x} = \frac52$$ in each row.

Use the equation $$y = 3.2x+5$$ to complete the table. Is $$y$$ proportional to $$x$$ ? Explain why or why not.

$$x$$ $$y$$ 1 8.2 2 11.4 4 17.8

No, there is no proportional relationship between $$x$$ and $$y$$ . In the first row $$\frac{y}{x}= 8.2$$ but in the second row $$\frac{y}{x} = 5.7$$ .

Grade 7 | Unit 2 | Lesson 8: Comparing Relationships with Equations | Practice Problems

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Mathematics

6th Grade

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Grade 7 | Unit 2 | Lesson 8: Comparing Relationships with Equations | Practice Problems

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MULTIPLE SELECT QUESTION

30 sec • 1 pt

distance measured in miles	distance measured in yards
1	1,760
5	8,800
2	3,520
10	17,600

There is a proportional relationship. The constant of proportionality is 1760 yards per mile.

Tags

CCSS.7.RP.A.2C

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Decide whether or not each equation represents a proportional relationship.

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CCSS.7.RP.A.2C

MULTIPLE SELECT QUESTION

30 sec • 1 pt

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CCSS.7.RP.A.2B

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30 sec • 1 pt

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CCSS.7.RP.A.2D

FILL IN THE BLANK QUESTION

30 sec • 1 pt

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CCSS.HSA.CED.A.3

OPEN ENDED QUESTION

3 mins • 1 pt

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CCSS.HSF-LE.A.1B

OPEN ENDED QUESTION

3 mins • 1 pt

Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets and the number of bits.

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CCSS.HSF-LE.A.1B

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